Experimental Study on the Characteristics of Temperature Field of Fire Room
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1 Experimental Study on the Characteristics of Temperature Field of under Stack Effect in a Scaled High-rise Building Model WENXI SHI 1,2, JIE JI 1*, JINHUA SUN 1, SIUMING LO 2, LINJIE LI 1 and XIANGYONG YUAN 1 1 State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei , China 2 Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, China ABSTRACT: A set of experiments were conducted in a scaled building model with 12 floors to study on the temperatures of fire room under stack effect in a high-rise building. The fuel mass loss rate, radiant flux, heat flux and temperatures in the atria and fire room at the first floor were experimentally investigated. The flames of pool fires in room are tilted towards the staircase under the air flow induced by the stack effect. The mass loss rate of fuel is influenced slightly by the position of window opened in the staircase, while the temperature distribution in the atria and fire room is different in the opened and closed staircases. The hot smoke temperatures in the atria and fire room at the first floor increase with an increasing pool size. The upper hot smoke temperatures in the atria are higher than those in the fire room in cases with an opened staircase. Compared different positions of the window opened in the staircase, it can be found that the upper hot smoke temperatures in the atria in cases with the 3 rd floor window opened are the highest due to the weaker stack effect. In the closed staircases, the upper hot smoke temperatures in the fire room are great higher than these in the atria at the first floor. Besides, the radiant flux and heat flux of the left sidewalls of staircase in an opened staircase are higher than those in a closed staircase, due to the tilted flame. The results obtained in this paper may be used for the safety design of the room in high-rise buildings. KEYWORDS:stack effect, high-rise building, compartment fire, temperature distribution, radiation. INTRODUCTION More and more high-rise buildings have been constructed in the world. Fire safety of these high-rise buildings has been attracted public attention owing to many catastrophic fire accidents [1-3]. The hot smoke produced by fire source may flow into the staircases and spread upward rapidly by stack effect in the high-rise building. Stack effect [4-5] is the phenomenon, with air entering through openings in lower floors, flowing upward in the building, and leaving through openings in upper floors, which results from density difference between hot inside air and cold outside air [6]. If a fire occurs in a high-rise building, not only the smoke movement will be accelerated by stack effect in those vertical shafts, seriously threatening to personnel safety evacuation, but also the air flow pattern in the room adjacent to a staircase is affected by the stack effect, and a plenty of fresh air is sucked into the fire room by the stack effect, providing sufficient oxygen for combustion. Many researchers have studied smoke movement induced by the stack effect in shafts and staircases of high-rise building spaces in the past few years [7-18], including neutral plane position prediction [7, 8], hot smoke movement mechanism [9-14], rise-time of buoyant plumes [15, 16] and pressure and temperature distribution [17, 18]. Little attention has been focused on the influence of the airflow induced by stack effect on the fire. Satoh et al. [19, 20] investigated the interaction between the airflow induced by stack effect and the flame of gas fire located on the ground at the center of shaft in a reduced shaft model, and discussed the effect of the inlet opening arrangements on flame tilt direction, flame tilt angle and flame length. Actually, it is also a very common scenario when the fire occurs in the room adjacent to a staircase in a high-rise building. The characteristics of temperature field of fire room are are significant for the safety design in the high-rise buildings, while, these parameters in the fire room under stack effect have not been studied in this circumstance. Besides, generally, many windows are fixed in the staircase to connect to the ambient environment for lighting and ventilation. The positions of these windows opened influence the stack effect magnitude in the staircases, which further affects the air flow pattern and temperature distribution in the fire room. In this paper, to study the influence of the height of window opened on the temperature distribution of the fire room adjacent to the staircase, a set of experiments were conducted in a 1/3 scaled building model. 419
2 EXPERIMENTAL FACILITY The 1/3 scale building model [18] was established in 2009 according to the principle of similitude [21, 22], as shown in Fig. 1 [23]. This model with 12 floors is 12.2 m (high) 2.6 m (long) 1.5 m (wide). The ground floor is m in height and the other floors are m in height. The back wall of staircase of each floor has a window connected to outside with the size of 0.9 m high 0.7 m wide. The first floor has three doors with the size of m high m wide. The left and front sidewalls of model are made of fire-resistant glass with 12 mm thickness for observation, and the other parts of staircase are made of steel plate with 2 mm thick. The additional 8 mm thick fireboard is used as the inner lining of fire room and atria at the first floor for thermal insulation. 12F 12.2m 12F Window 11F 1m Window Size: 0.9 m 0.7 m 10F 1m 9F Window 9F 9.2m 8F 8.2m 7F 7.2m 12.2m 6F Window 6F 6.2m 5F 5.2m 4F 4.2m 3F 3.2m 2F 2.2m 3F Window z y x 1F m Staircase Room 1.5m 1F-Door3 Size: m m m m m m Staircase Room Fig. 1. Schematic of 1/3 scaled staircase building model [23] The temperatures of hot gases in the room and atria at the first floor were measured by K-type fine wire thermocouples with the diameter of 1 mm. Three velocity probes of hot-wire anemometers (Kanomax, KA12) at a 15 cm vertical interval were installed 5 cm away from the right of door 3 to measure airflow speed with sampling intervals of 1 s. The radiant flux sensor (Captec Enterprise TS-30) and heat flux sensor (Captec Enterprise HS-30B) were located closed to the left sidewalls of staircase at a height of 0.3 m to measure the total radiant flux and total heat flux from the hot smoke and flame. The heat flux sensor measured the total radiation heat and the convective heat from the flame and hot smoke, while the radiant flux sensor just measured the total radiation heat. The detailed locations of these thermocouples, velocity probes, radiant flux sensor and heat flux sensor are shown in Fig. 2. Pool fires were set as fire sources, and heptane was used as fuel. The size of square pool is 10 cm, 15 cm, 20 cm and 25 cm. These pools were made by 2 mm thick steel board. Their depths were all 4 cm, and the initial thickness of the fuel was 2 cm for each case. The mass of burning pool fires were recorded by a digital electronic balance with an accuracy of 0.01 g. A Digital Vidicon and a Digital Camera were used to record the flame development in the room. Three doors in the first floor were always opened in 420
3 each case. The windows at the 3 rd, the 6 th, the 9 th and the 12 th floor were selectively opened, respectively. Only one window was opened to connect the outside and other windows were closed in each case. Ambient temperature was about C. Each case was repeated once, and the results showed that the repeatability was good. For this series of experiments, we have investigated the smoke movement mechanisms in the staircase [23]. In this paper, we focus on discussion the temperature distribution and radiation of the fire room under stack effect in a staircase. 1.5 m 0.7 m Window Y X Heat flux sensor Radiant flux sensor Thermocouples Velocity measuring points Distance from the left side of staircase (m) Staircase m V1-V Door1 Door2 Door3 m m m m (a) top view Staircase-12F Z m X 12.2 m Heat flux sensor Radiant flux sensor Thermocouples Velocity measuring points Staircase-1F T1 T2 T3 T4 T5 T6 m 0.3 m T3 V1 V Electronic V3 Door Door 1 balance Door 1 m m m (b) side view Fig. 2. Locations of the measured points 421
4 RESULTS AND DISCUSSION Typical Fire Behavior in the Room The development of flame shapes of different pool fires was recorded in each case. The typical flame shapes of 20 cm pool size at the fully developed period are show in Fig. 3. The rectangular black area in the middle of the pictures is the connection part of fire room and atria at the first floor. The flames tilt toward the staircase owing to the airflow induced by the stack effect in cases with an opened staircase, as shown in Fig. 3 (a), (b), (c), and (d). By comparing these four pictures, it can be found that the flame length in case with the 12 th floor window opened is slightly longer, due to a larger induced wind speed V avg through door 3 on the right side of the fire room. Whereas the flame tilt angle (the angle between the centerline of flame region and vertical direction) in case with the 3 rd floor window opened is slightly smaller owing to lesser wind speed V avg. In cases with a closed staircase, the flame tilts slightly toward the staircase because of the lack of stack effect, as shown in Fig. 4. The flame shape of 20 cm pool size ejects from the door 2 at the left of fire room. By contrast, the flame of 25 cm pool size fills the entire room and part of the flame spread towards the door 3, resulting from more fresh air required to maintain the combustion of the bigger pool. At the same time, plenty of black smoke was produced due to insufficient oxygen and the flame tip located in the upper part of the fire room could almost not be seen. 20 cm V avg =8 m/s (a) Flame shape of 20 cm pool size with the 12 th (12.2 m) floor window opened at t=350 s 20 cm V avg =4 m/s (b) Flame shape of 20 cm pool size with the 9 th (9.2 m) floor window opened t=350 s 20 cm V avg =1 m/s (c) Flame shape of 20 cm pool size with the 6 th (6.2 m) floor window opened at t=350 s 422
5 20 cm V avg =0.99 m/s (d) Flame shape of 20 cm pool size with the 3 rd (3.2 m) floor window opened at t=350 s Fig. 3. Typical flame shapes of 20 cm pool size in the opened staircases 20 cm 25 cm Door 2 Door 3 Door 2 Door 3 (a) Flame shape of 20 cm pool size at t=300 s (b) Flame shape of 25 cm pool size at t=220 s Fig. 4. Typical flame shapes of 20 and 25 cm pool sizes in the closed staircases (all windows closed) Mass Loss Rate The mass loss rates versus time of 20 cm pools are shown in Fig. 5. It can be seen that the mass loss rate is relatively small at the early slow growth period [24]. Then it increases rapidly and reaches a peak at the fully developed period. The maximum in case with a closed staircase is about 4.0 g/s at 330 s, which is higher than that in an open staircase. The reason is that most of the flame of pool fire is within the fire room and the unburned heptane in the pan receives more heat feedback from flame, upper hot smoke and sidewalls, leading to bigger evaporation rate and combustion rate [25]. By comparing the maximum mass loss rates of 20 cm pool size in opened staircase, it can be found that the maximum mass loss rates have slight difference under the action of stack effect, which indicates that the mass loss rate of fuel is influenced slightly by the position of window opened in the staircase. For other pool seizes, the similar results are obtained. More about the fuel mass rate of pool fires under stack effect are presented in the reference [23]. The calculated heat release rate of pool fires at the fully developed period are shown in Table
6 F (12.2 m) window opened 9F (9.2 m) window opened 6F (6.2 m) window opened 3F (3.2 m) window opened Enclosed staircase Mass loss rate (g/s) Time (s) Fig. 5. Fuel mass loss rate versus time of 20 cm pool size in different cases Table 1. Heat release rate of pool fires at the fully developed period Window opened location 10 cm pool 15 cm pool 20 cm pool 25 cm pool The 12 th floor window opened 36.9 kw 63.1 kw 93 kw kw The 9 th floor window opened 33.5 kw 59.2 kw 89.9 kw kw The 6 th floor window opened 32.4 kw 56.6 kw 89.8 kw kw The 3 rd floor window opened 28.4 kw 56.9 kw 87 kw kw Enclosed staircase 38.3 kw 79 kw kw kw Temperatures in and The thermocouples T1-T6 were located 5 cm below the ceiling of the atria and fire room at the first floor, respectively. The temperatures of thermocouple T2 and T5 of 20 cm pool sizes in the opened and closed staircases are show in Fig. 6. In a case with the opened staircase, at the early slow growth period, the flame is in the fire room because of the weaker stack effect. Thus the temperature of T5 rises first. As burning time passed, more hot smoke spread into staircase, the stack effect became stronger and the flame tilted toward the atria (the 1 st floor) owing to the wind speed, therefore the temperature of T2 begins to increase and the temperature of T5 starts to decrease, due to the cooling effect of air flow sucked into the fire room [26]. It also can be found that the temperatures of thermocouple T2 and T5 in case with the 3 rd floor window opened are higher than those in case with 9 th floor window opened, resulting from the relatively weaker stack effect. In a case with the closed staircase, the flame tilted slightly toward the atria (the 1 st floor), since the temperatures of T2 and T5 increase successively after ignition, while the temperature of T2 is far less than the temperature of T5. The temperature of T2 increases rapidly from 300 s to 340 s, because the flame ejected into the atria. To compare these three cases, it can be shown that the temperature of the ceiling of fire room is about 100 o C under the action of stack effect in the opened staircase. However, the temperature of the ceiling of fire room is around 650 o C in the closed staircase. 424
7 Temperature ( o C) T2 ()-20 cm pool size, 9F (9.2 m) window opened T2 ()-20 cm pool size, 3F (3.2 m) window opened T2 ()-20 cm pool size, enclosed staircase T5 (Fire room)-20 cm pool size, 9F (9.2 m) window opened T5 (Fire room)-20 cm pool size, 3F (3.2 m) window opened T5 (Fire room)-20 cm pool size, enclosed staircase T2 T5 Fire room Time (s) Fig. 6. Temperatures of thermocouple T2 and T5 versus time of 20 cm pool size in the opened and closed staircases The ceiling temperatures of the atria and fire room (the 1 st floor) of 20 cm pool size with the 9 th window opened are shown in Fig. 7. It can be seen that the temperatures of T4, T5 and T6 in the fire room are similar and almost maintain a constant at the fully developed fire stage (300 s - s), but the temperatures of T1, T2 and T3 in the atria (the 1 st floor) are different. The temperature of T1 is the highest and about 180 o C, while that of T3 is the lowest and about 130 o C, and actually the difference between them is not significant. The reason is that the tilted smoke plume was easy to gather at the top left region of the atria under the action of stack effect. Besides, it is obviously observed that the ceiling temperatures of the atria are constantly changing in the process of the flame tilt toward the atria. As shown in Fig. 7, the temperatures of T1 and T2 reach a peak at 260 s, and then they decrease to a stable state at the fully developed fire stage, and then reach another peak at s. While the temperature of T3 reaches a peak at 260 s, and then maintains almost a constant for a period. The similar results are obtained in other cases with the opened staircases. Temperature ( o C) T1 ()-20 cm pool size, 9F (9.2 m) window opened T2 ()-20 cm pool size, 9F (9.2 m) window opened T3 ()-20 cm pool size, 9F (9.2 m) window opened T4 (Fire room)-20 cm pool size, 9F (9.2 m) window opened T5 (Fire room)-20 cm pool size, 9F (9.2 m) window opened T6 (Fire room)-20 cm pool size, 9F (9.2 m) window opened T1 T2 T3 T4 T5 T6 Fire room Time (s) Fig. 7. The ceiling temperatures of the atria and fire room of 20 cm pool size with the 9 th (9.2 m) window opened When the mass loss rate, total radiant flux and total heat flux reached the maximum and maintained an almost constant value at the fully developed fire stage. The average temperature rise of the atria and fire room (the 1 st floor) during this period in all cases is 425
8 shown in Fig. 8. It can be seen that the temperature distribution in the atria and fire room is different in all cases. In cases with an opened staircase, the lower flame tilts toward the atria owing to the stack effect, and the flame region increase with an increasing pool size. Besides, it can be seen obviously that the upper hot smoke temperatures in the atria are higher than those in the fire room. Taking 20 cm and 25 cm pool sizes for examples, the upper hot smoke temperatures in the atria are more than o C, while those in the fire room are less than o C. The opened window position has a significant effect on the temperature distribution in the atria and fire room. In cases with windows opened at the 12 th, 9 th and 6 th floor, the smoke temperatures of 10, 15, and 20 cm pool sizes in the fire room are all less than 80 o C, resulting from the mixing process between the hot smoke and the cooling air induced by the stack effect, so the hot smoke could be modeled as one zone, while those of 25 cm pool size with larger heat release rate, the upper hot smoke temperatures are higher than the lower air zone, and thus the hot smoke could be modeled as two zones. In the same way, for 10 and 15 cm pool sizes, the smoke temperatures in the left region of the atria are higher than those in the right region, while for 20 and 25 cm pool sizes, the smoke temperatures in the whole atria are similar and could be modeled as one zone. In cases with windows opened at the 3 rd floor, the upper hot smoke temperatures in the fire room are higher than the lower air zone, while the smoke temperatures in the left region of the atria (the 1 st floor) are higher than those in the right region. Besides, comparing with the cases with the other windows opened, the temperature distribution of the atria in cases with the 3 rd window opened is obvious different. For 20 cm pool size, the upper hot smoke temperatures of the atria in case with the 3 rd window opened are more than o C, while those in other cases are all less than o C. A possible explanation for this phenomenon is that the wind speed of 20 cm pool size induced by stack effect is significant minimum in case with the 3 rd window opened, as show in Fig. 3. On one hand, the flame tilt angle is smaller and the hot smoke is easy to gather at the upper of the atria. On the other hand, the air mass flow sucked into the atria is small owing to lesser wind speed V avg and thus the cooling effect is poor. Considering these two aspects, the upper hot smoke temperatures in the atria in cases with the 3 rd window opened are the highest as shown in Fig. 8. In cases with the closed staircases, the upper hot smoke temperatures in the atria and fire room (the 1 st floor) increase with an increasing pool size, and the values are higher than the lower air zone, thus the hot smoke could be modeled as two or more zones. Besides, it is obviously observed that the upper hot smoke temperatures in the fire room are great higher than those in the atria. The flame of 20 cm pool size ejected into the atria as shown in Fig. 4(a), resulting in a significantly larger temperature rise in the atria. For 25 cm pool size, the flame filled the entire room and part of the flame spread towards the outside as shown in Fig. 4(b), so the whole fire room temperatures are very high. The upper hot smoke temperature in the fire room is more than o C, and the temperatures at the upper of door 3 on the right side of fire room is above o C, which indicates the flashover fire may occur in the fire room [27] (10 cm pool size, 12F window opened) (15 cm pool size, 12F window opened) (10 cm pool size, 9F window opened) case B2 (15 cm 9F window opened) 8 426
9 (10 cm pool size, 6F window opened) (15 cm pool size, 6F window opened) (10 cm pool size, 3F window opened) (15 cm pool size, 3F window opened) (10 cm pool size, Enclosed staircase) (15 cm pool size, Enclosed staircase) (20 cm pool size, 12F window opened) (25 cm pool size, 12F window opened) (20 cm pool size, 9F window opened) (25 cm pool size, 9F window opened) 8 427
10 (20 cm pool size, 6F window opened) (25 cm pool size, 6F window opened) (20 cm pool size, 3F window opened) (25 cm pool size, 3F window opened) (20 cm pool size, Enclosed staircase) (25 cm pool size, Enclosed staircase) 8 Fig. 8. Temperature rise of the atria and fire room at the fully developed fire stage in all cases Radiant Flux and Heat Flux Fig. 9 shows the measured total radiant flux and total heat flux versus time of 10 cm and 20 cm pool sizes in the opened and closed staircases. It can be seen that the radiant flux and heat flux maintain a steady stage at the early burning period, and then reach rapidly a peak. In cases with an opened staircase, the radiant flux of 20 cm pool size increases to the maximum first. As shown in Fig. 9(a), the total radiant flux of 10 cm pool size reaches a peak of 0.18 kw/m 2 at 360 s and that of 20 cm pool size reaches a peak of 2 kw/m 2 at 300 s. After reached its maximum, the measured values of 20 cm pool size have a larger fluctuation owing to the influence of the tilted flame oscillation, while those of 10 cm pool size have a smaller fluctuation. The reason is that the flame length of 20 cm pool size is greater and the distance between flame front and radiant flux sensor is relatively shorter. In cases with the closed staircase, the total radiant flux of 20 cm pool size reaches a peak of 2 kw/m 2 at 230 s, and the maximum is lower than that in opened staircase. The total heat flux has a similar variation trend as shown in Fig. 9(b). 428
11 Total Radiant Flux (kw/m 2 ) cm pool size, 9F (9.2 m) window opened 10 cm pool size, enclosed staircase 20 cm pool size, 9F (9.2 m) window opened 20 cm pool size, enclosed staircase Total Heat Flux (kw/m 2 ) cm pool size, 9F (9.2 m) window opened 10 cm pool size, enclosed staircase 20 cm pool size, 9F (9.2 m) window opened 20 cm pool size, enclosed staircase Time (s) (a) Total radiant flux versus time Time (s) (b) Total heat flux versus time Fig. 9. Total radiant flux and heat flux versus time of 10 cm and 20 cm pool sizes in the opened and closed staircases The time-average total radiant flux and total heat flux at the fully developed fire stage in all cases are shown in Fig. 10. It can be seen that the time-average total radiant flux and total heat flux in cases with the opened staircases are higher than those of the closed staircases for the same pool size. In the cases with an opened staircase, the flame tilted toward the staircase owing to the stack effect, and in the meantime, amounts of hot smoke flowed into the staircase. When in the cases with a closed staircase, the stack effect was disappeared, and thus the flame tilted slightly. Only part of hot smoke flowed into the staircase, and the other parts flowed out through the door 3. As a result, the measured values of total radiant flux and total heat flux from the flame and hot smoke in cases with the closed staircases are the lowest. Comparing the total radiant flux and total heat flux of 20 cm and 25 cm pool sizes in the closed staircase, the total radiant flux of 20 cm pool size is higher than that of 25 cm pool size as shown in Fig. 10(a), but the total heat flux has the opposite trend as shown in Fig. 10(b). A possible explanation is that the flame of 20 cm pool size ejected to the atria (Fig. 4(a)) and was closer to the radiant flux sensor, while the flame of 25 cm pool size spread towards the outside (Fig. 4(b)) and was far from the radiant flux sensor. To further analyze the data shown in Fig. 10, the time-average total radiant flux and total heat flux in cases with the 12 th window opened keep the highest, because of longer flame length and higher wind speed as shown in Fig. 3 (a). Besides, for the same pool size, the values in other cases with the opened window at the 9 th, 6 th, and 3 rd floor fall in the range of the cases with the opened window at 12 th floor and the case with the closed staircase, while these values have no obvious variety regulation. Total Radiant Flux (kw/m 2 ) 12F (12.2 m) window opened 9F (9.2 m) window opened 6F (6.2 m) window opened 3F (3.2 m) window opened Enclosed staircase Total Heat Flux (kw/m 2 ) F (12.2 m) window opened 9F (9.2 m) window opened 6F (6.2 m) window opened 3F (3.2 m) window opened Enclosed staircase Pool size (cm) (a) Time-average total radiant flux Pool size (cm) (b) Time-average total heat flux Fig. 10. Time-average total radiant flux and heat flux at the fully developed fire stage in different cases Conclusion In this paper, to study the influence of the height of window opened on the temperature distribution of the fire room adjacent to a 429
12 staircase, a set of experiments were conducted in a 1/3 scaled building model. The temperatures in the atria and fire room (the 1 st floor) have been experimentally investigated. The flames of pool fires in room tilt towards the staircase under the air flow induced by the stack effect. The mass loss rate of fuel is influenced slightly by the position of window opened in the staircase, while the temperature distribution in the atria and fire room is different in the opened and closed staircases. The hot smoke temperatures in the atria and fire room increase with an increasing pool size. In the opened staircase, the upper hot smoke temperatures in the atria are higher than those in the fire room. Compared different positions of the window opened in the staircase, the upper hot smoke temperatures in the atria in cases with the 3 rd window opened are the highest owing to the weaker stack effect. In the closed staircases, the upper hot smoke temperatures in the fire room are great higher than these in the atria. The flame ejects into the atria and the flashover fire may occur in the fire room for the bigger pool sizes. The radiant flux and heat flux of the left sidewalls of staircase are also investigated, and the measured values in an opened staircase are higher than those in a closed staircase, due to the tilted flame. For the cases in the opened staircases, the time-average total radiant flux and total heat flux at the fully developed fire stage in cases with the 12 th window opened keep the highest, because of the longer flame length and higher wind speed induced by the stack effect, while the values in other cases are lower and have no obvious variety regulation. To sum up, the results obtained in this paper may be used for the safety design of the room in the high-rise buildings. Acknowledgement This research was supported by the National Basic Research Program of China (973 Program) under Grant No. 2012CB and the Fundamental Research Funds for the Central Universities under Grant No. WK References: [1] Chow, W.K., (2005) Building fire safety in the Far East, Architectural Science Review 48: , [2] Lo, S.M., Yuen, K.K., Lu, W.Z., and Chen, D.H., (2002) A CFD study of buoyancy effects on smoke spread in a refuge floor of a high-rise building, Journal of Fire Sciences, 20: , [3] Guo, S.D., Yang, R., and Zhang, H., (2002) The zone-particle model for building fire simulation, Chinese Science Bulletin 55: , [4] Klote, J.H., A General Routine for Analysis of Stack Effect, US Department of Commerce, NIST, Gaithersburg, MD, [5] Klote, J.H., and Fothergill, J.W., Design of smoke control systems for buildings, US Department of Commerce, National Bureau of Standards, Washington, D.C., 1983, p [6] Barrett, R.B., and Locklin, D.W., (1969) A computer technique for predicting smoke movement in tall buildings, Fire Technology 5: , [7] Harmathy T.Z., (1998) Simplified Model of Smoke Dispersion in Buildings by Stack Effect, Fire Technology 34: 6-17, [8] Zhang, J.Y., Lu, W.Z., Huo, R., and Feng, R., (2008) A new model for determining neutral-plane position in shaft space of a building under fire situation, Building and Environment 43: , [9] Cannon, J.B., Convective Flows Under Conditions Applicable to Fires in High Rise Buildings, PhD Thesis, California Insitute of Technology, Pasadena, CA, [10] Zukoski, E.E., A Review of Flows Driven by Natural Convection in Adiabatic Shafts. NIST, Gaithersburg, MD, [11] Benedict, N.L., Buoyant flows in vertical channels Relating to Smoke Movement in High Rise Building Fires, PhD Thesis, California Insitute of Technology, Pasadena, CA,
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